The radiation reaction force

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Hydrogen Atom ◽  
Reaction Force ◽  
Heuristic Method ◽  
Radiation Reaction ◽  
Maxwell Theory ◽  
Lorentz Equation ◽  
A Charge ◽  
Radiation Reaction Force ◽  
Accelerated Charge

This chapter observes the reaction force acting on a charge due to the radiation it emits. It also considers the related questions of renormalization and physical interpretation. Modifying the Lorentz equation introduced in Chapter 11 by including a radiation reaction force provides a heuristic method of describing the expected slowing of an accelerated charge in response to the radiation it emits. The chapter then goes on to describe the Abraham–Lorentz–Dirac reaction force, the counter-effect of the radiation of an accelerated charge on its motion. In addition, the chapter shows that a hydrogen atom, this time described by the Thomson model, is unstable in Maxwell theory.

scholarly journals Electrodynamics of Radiating Charges

2012 ◽  
Vol 2012 ◽  
pp. 1-29 ◽  
Author(s):  
Øyvind Grøn
Keyword(s):  
Reference Frames ◽  
Reaction Force ◽  
Radiation Reaction ◽  
Circular Path ◽  
Conservation Of Energy ◽  
Accelerated Motion ◽  
A Charge ◽  
Radiation Reaction Force ◽  
Accelerated Charge

The theory of electrodynamics of radiating charges is reviewed with special emphasis on the role of the Schott energy for the conservation of energy for a charge and its electromagnetic field. It is made clear that the existence of radiation from a charge is not invariant against a transformation between two reference frames that has an accelerated motion relative to each other. The questions whether the existence of radiation from a uniformly accelerated charge with vanishing radiation reaction force is in conflict with the principle of equivalence and whether a freely falling charge radiates are reviewed. It is shown that the resolution of an electromagnetic “perpetuum mobile paradox” associated with a charge moving geodetically along a circular path in the Schwarzschild spacetime requires the so-called tail terms in the equation of motion of a charged particle.

Radiation by a charge

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Electromagnetic Wave ◽  
Synchrotron Radiation ◽  
Hydrogen Atom ◽  
Thomson Scattering ◽  
Circular Motion ◽  
Single Charge ◽  
Maxwell Theory ◽  
A Charge ◽  
Accelerated Charge

This chapter takes a look at the energy radiated by a single charge. After deriving the Larmor formulas, it studies the paradigmatic cases of the radiation of a linearly accelerated charge. Next, it turns to the synchrotron radiation of a charge in circular motion. Finally, the chapter considers the radiation of a charge accelerated by an electromagnetic wave—Thomson scattering, which is when the energy is radiated to infinity. In addition, the chapter also reveals that the hydrogen atom as described by the Rutherford model of an electron orbiting a proton is highly unstable in Maxwell theory.

Radiation reaction in a Lorentz-violating modified Maxwell theory

2018 ◽  
Vol 33 (27) ◽  
pp. 1830010
Author(s):  
V. Veera Reddy ◽  
S. Gutti ◽  
A. Haque
Keyword(s):  
Reaction Force ◽  
Lorentz Violation ◽  
Radiation Reaction ◽  
Electromagnetic Mass ◽  
Maxwell Theory ◽  
Radiation Reaction Force

We study the radiation reaction in Lorentz-violating electrodynamics [D. Colladay and V. Alan Kostelecky, Phys. Rev. D 58, 116002 (1998)]. We explore the possible modification whatsoever present in the radiation reaction force experienced by an accelerating charge in the modified Maxwell theory. However, it turns out that radiation reaction receives no change due to Lorentz violation, whereas electromagnetic mass manifests anisotropy.

Radiation-reaction force on a moving mirror

1993 ◽  
Vol 3 (11) ◽  
pp. 2151-2159 ◽  
Author(s):  
Claudia Eberlein
Keyword(s):  
Reaction Force ◽  
Radiation Reaction ◽  
Radiation Reaction Force

The two-body problem: an effective-one-body approach

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Body Problem ◽  
Equations Of Motion ◽  
Reaction Force ◽  
Kerr Black Hole ◽  
Radiation Reaction ◽  
Spherically Symmetric ◽  
Geodesic Motion ◽  
Two Body Problem ◽  
Symmetric Spacetime ◽  
Radiation Reaction Force

This chapter presents the basics of the ‘effective-one-body’ approach to the two-body problem in general relativity. It also shows that the 2PN equations of motion can be mapped. This can be done by means of an appropriate canonical transformation, to a geodesic motion in a static, spherically symmetric spacetime, thus considerably simplifying the dynamics. Then, including the 2.5PN radiation reaction force in the (resummed) equations of motion, this chapter provides the waveform during the inspiral, merger, and ringdown phases of the coalescence of two non-spinning black holes into a final Kerr black hole. The chapter also comments on the current developments of this approach, which is instrumental in building the libraries of waveform templates that are needed to analyze the data collected by the current gravitational wave detectors.

scholarly journals Guiding-centre transformation of the radiation–reaction force in a non-uniform magnetic field

2015 ◽  
Vol 81 (5) ◽  
Author(s):  
E. Hirvijoki ◽  
J. Decker ◽  
A. J. Brizard ◽  
O. Embréus
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Uniform Magnetic Field ◽  
Reaction Force ◽  
Charged Particles ◽  
Collision Operator ◽  
Radiation Reaction ◽  
Transform Method ◽  
Lie Transform ◽  
Radiation Reaction Force

In this paper, we present the guiding-centre transformation of the radiation–reaction force of a classical point charge travelling in a non-uniform magnetic field. The transformation is valid as long as the gyroradius of the charged particles is much smaller than the magnetic field non-uniformity length scale, so that the guiding-centre Lie-transform method is applicable. Elimination of the gyromotion time scale from the radiation–reaction force is obtained with the Poisson-bracket formalism originally introduced by Brizard (Phys. Plasmas, vol. 11, 2004, 4429–4438), where it was used to eliminate the fast gyromotion from the Fokker–Planck collision operator. The formalism presented here is applicable to the motion of charged particles in planetary magnetic fields as well as in magnetic confinement fusion plasmas, where the corresponding so-called synchrotron radiation can be detected. Applications of the guiding-centre radiation–reaction force include tracing of charged particle orbits in complex magnetic fields as well as the kinetic description of plasma when the loss of energy and momentum due to radiation plays an important role, e.g. for runaway-electron dynamics in tokamaks.

Sign in / Sign up

Export Citation Format

Share Document